Derived moduli of schemes and sheaves

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August undefined, 2024

WebNov 11, 2010 · Derived moduli of schemes and sheaves November 2010 arXiv Authors: J. P. Pridham Abstract We describe derived moduli functors for a range of problems … Webthe theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in positive characteristic, moduli spaces of principal bundles and of complexes, …

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WebAbstract We construct the derived scheme of stable sheaves on a smooth projective variety via derived moduli of finite graded modules over a graded ring. We do this by dividing the derived scheme of actions of Ciocan-Fontanine and Kapranov by a suitable algebraic gauge group. WebSupporting: 1, Mentioning: 43 - We describe derived moduli functors for a range of problems involving schemes and quasi-coherent sheaves, and give cohomological conditions for … road trip pacific coast highway präsentation

Non-commutative thickening of moduli spaces of stable sheaves

WebSupporting: 1, Mentioning: 43 - We describe derived moduli functors for a range of problems involving schemes and quasi-coherent sheaves, and give cohomological conditions for them to be representable by derived geometric n-stacks. Examples of problems represented by derived geometric 1-stacks are derived moduli of polarised … WebIt is the definitive reference for the important topics of vector bundles, coherent sheaves, moduli spaces and geometric invariant theory; perfect as both an introduction to these … WebApr 12, 2010 · The derived moduli space of stable sheaves DOI: Source arXiv Authors: Kai Behrend Ionut Ciocan-Fontanine Junho Hwang Michael Rose Abstract We construct the derived scheme of stable sheaves... road trip packing

Derived moduli of schemes and sheaves - Cambridge Core

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WebIn chapter one, we explore the derived category of coherent sheaves on a variety through its group of autoequivalences. More precisely, we show that a scheme of ﬁnite type over a ﬁeld is determined by its bounded derived category of coherent sheaves together with a collection of autoequivalences corresponding to an ample family of line bundles. WebNov 23, 2024 · In modern terms, enumerative geometry is the study of moduli spaces: instead of counting various geometric objects, one describes the set of such objects, … road trip packing checklistWebApr 14, 2024 · To a solution of 0.5 g (1.997 mmol) of 4,4′-thiobisbenzenethiol and 0.53 g (4.193 mmol) of 4-fluorobenzaldehyde in 2.0 mL of DMF was added, 0.83 g (6.005 mmol) of potassium carbonate was ... road trip packing list australia

"WebModuli spaces of sheaves Y: Calabi-Yau threefold. Fix numerical invariants, and a stability condition. X: associated moduli space of stable sheaves (derived category objects) on Y. Example: Fix integer n >0. X = Hilbn(Y), Hilbert scheme of n points on Y. E 2X ()E is the ideal sheaf of a (degenerate) set of n points in Y. Example: Fix integers n ... " - Derived moduli of schemes and sheaves

Derived moduli of schemes and sheaves

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WebExplicit examples of derived moduli problems addressed here are ﬁnite schemes, polarised projective schemes, torsors, coherent sheaves, and ﬁnite group schemes. Introduction In [Pri6], representability was established for many derived moduli problems involving schemes and quasi-coherent sheaves. However, the derived stacks there … WebJ. K-Theory 10 (2012), 41–85 doi:10.1017/is011011012jkt175 ©2011 ISOPP Derived moduli of schemes and sheaves by J.P. PRIDHAM Abstract We describe derived moduli ...

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WebAug 1, 2024 · Title: Moduli of sheaves: a modern primer. Authors: Max Lieblich. Download PDF Abstract: We give a modern introduction to the moduli of sheaves. After reviewing … WebDescription: Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in positive characteristic, moduli spaces of principal bundles and of complexes, Hilbert schemes of points on surfaces, derived categories of ...

WebThe argument of [Reference Álvarez-Cónsul and King AK07] was improved by Behrend et al. [Reference Behrend, Fontanine, Hwang and Rose BFHR14] to construct the derived moduli scheme of stable sheaves. WebIn algebraic geometry, a derived scheme is a pair (,) consisting of a topological space X and a sheaf either of simplicial commutative rings or of commutative ring spectra on X …

WebThe Geometry of Moduli Spaces of Sheaves - Dec 17 2024. 4 Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of ... Hilbert schemes of points on surfaces, derived categories of coherent sheaves, and moduli spaces of sheaves on Calabi–Yau threefolds. The authors review changes in the

Webcoherent sheaves is the derived tensor product, which produces an object of the derived category of X(see §0.4). A coherent sheaf Fon a Noetherian scheme Xis: (a) locally free if Xhas a (finite) cover by open setsUsuch that: F U ∼=⊕rO X U are free modules over the rings of regular functions. These are the vector bundles. (b) invertible ...

WebWe construct the derived scheme of stable sheaves on a smooth projective variety via derived moduli of finite graded modules over a graded ring. We do this by dividing the derived scheme of actions of Ciocan-Fontanine and Kapranov by a suitable algebraic gauge group. We show that the natural notion of GIT stability for graded modules … sned 2021WebApr 10, 2024 · Tropicalization of Schemes and Sheaves. April 2024; License; CC BY-NC-ND 4.0; Authors: Félix Baril Boudreau. Félix Baril Boudreau. This person is not on ResearchGate, or hasn't claimed this ... road trip packet for kidsWebDescription: Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in positive characteristic, moduli spaces of principal bundles and of complexes, Hilbert schemes of points on surfaces, derived categories of ... road trip packing list templateWebOnce we can overcome this difficulty, the universality of the moduli space is easily derived from that of the Quot-scheme and the quotient. In the first section we shall recall a proof … snedbanehissWebCalabi{Yau moduli schemes and moduli stacks Pantev et al. prove that if Y is a Calabi{Yau m-fold over K and M is a derived moduli scheme or stack of (complexes of) coherent sheaves on Y , then M has a natural (2 m)-shifted symplectic structure !. So Calabi{Yau 3-folds give 1-shifted derived schemes or stacks. sned 11WebAbstract. We construct the derived scheme of stable sheaves on a smooth projective variety via derived moduli of finite graded modules over a graded ring. We do this by … snec women\u0027s retreatWebBorisov-Joyce constructed a real virtual cycle on compact moduli spaces of stable sheaves on Calabi-Yau 4-folds, using derived differential geometry. We construct an algebraic virtual cycle. ... Borisov-Joyce constructed a real virtual cycle on compact moduli spaces of stable sheaves on Calabi-Yau 4-folds, using derived differential geometry ... road trip panamericaine